JACOBI VECTOR FIELDS FOR LAGRANGIAN SYSTEMS ON ALGEBROIDS

DOI10.1142/S0219887813500114zbMath1387.70029arXiv1205.5952OpenAlexW3104401454MaRDI QIDQ2836542

Michał Jóźwikowski

Publication date: 3 July 2013

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.5952

zbMATH Keywords

variational principlesecond variationconjugate pointsLie algebroidsJacobi fieldLagrangian dynamics

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Hamilton's principle (70H25) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) Lie algebras and Lie superalgebras (17B99) Lagrange's equations (70H03)

Related Items (3)

Jacobi fields in nonholonomic mechanics ⋮ Killing sections and sigma models with Lie algebroid targets ⋮ Models for higher algebroids

Cites Work

• Algebroids -- general differential calculi on vector bundles
• Pontryagin Maximum Principle on Almost Lie Algebroids
• Morse Theory. (AM-51)
• Tangent lifts of Poisson and related structures
• Conjugate points and shocks in nonlinear optimal control
• The Large Scale Structure of Space-Time
• Lagrangian mechanics on Lie algebroids

This page was built for publication: JACOBI VECTOR FIELDS FOR LAGRANGIAN SYSTEMS ON ALGEBROIDS